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Introduction to Ring Theory

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A clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, Tensor product and rings of fractions, followed by a description of free rings. Readers are assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.

Author(s): Paul M. Cohn
Series: Springer Undergraduate Mathematics Series
Edition: 1
Publisher: Springer
Year: 1999

Language: English
Commentary: With Book's Cover | Published: 19 November 1999 | 3rd printing 2004
Pages: x, 229
City: London
Tags: Group Theory; SUMS; Vector Space; Algebra; Ring Theory

Front Matter
Pages i-x

Introduction
P. M. Cohn
Pages 1-2

Remarks on Notation and Terminology
P. M. Cohn
Pages 3-6

Basics
P. M. Cohn
Pages 7-52

Linear Algebras and Artinian Rings
P. M. Cohn
Pages 53-101

Noetherian Rings
P. M. Cohn
Pages 103-133

Ring Constructions
P. M. Cohn
Pages 135-173

General Rings
P. M. Cohn
Pages 175-202

Back Matter
Pages 203-229